The Piececlopedia is intended as a scholarly reference concerning the history and naming conventions of pieces used in Chess variants. But it is not a set of standards concerning what you must call pieces in newly invented games.

Piececlopedia: Zebra

Historical notes

The zebra is a fairly well known fairy chess piece, and has appeared in
chess variants under different names.

Movement

The zebra is a (2,3)-jumper, i.e., it moves (with or without taking)
three squares horizontally and two vertically, or two squares horizontally and
three vertically.
It `jumps', i.e., it can move regardless
whether the intervening squares are occupied or not.

Movement diagram

In the diagram below, the zebra can move to all the squares marked with
a black circle.

Comments

Actually, there is a song they wrote called 'Who's Behind The Door' that
contains possibly the most curt, and most thought-provoking lyric ever
written:
'Looking out to the stars, think about what you are.'
And if you do think about it, it is rather profound.

The Zebra actually exists as the SAHNG (Elephant) in Changgi (Korean
Chess). Korean Chess greatly resembles Xiangqi (Chinese Chess) except in
two basic ways. One of these concerns the move of the Elephant.
Chinese Elephant - moves like an Alfil (but without the jumping power) -
and cannot cross the river.
Korean Elephant - moves like the Zebra described on this page - except
that it is not a leaper : there must be an unobstructed path from the
origin to the destination. Also, unlike its Chinese cousin, it is not
barred from crossing the river - as there is no river.